Question

Bobby, Juliana and Michael have worked out a bartering system for trading their school lunch snacks. They decided that 10 carrot sticks are equal to 1 apple, 1apple is equal to 20 potato chips (1/2 of a grab bag), and 1 grab bag of chips is equal to 1 pudding cup. In their system, apples and pudding cups may not be divided into pieces for bartering purposes. Juliana has 15 carrot sticks and 1 apple in her lunch. What must she give Michael in order to get his pudding cup?

Answer 1

EXPLANATION

Given that we need to consider the bartering system, we can apply the following reasoning:

10 carrot sticks -----1 apple

1 apple ------- 20 potato chips

(1/2 grab bag) --- 1/2 pudding cup

1 grab bag ---1 pudding cup

Constraint: apples ad pudding cups may not be divided.

Juliana ---->

15 carrot sticks + 1 apple

As 1 apple is equivalent to 1/2 pudding cup, but the pudding cups can not be divided, we need to add a half more fraction in order to get the pudding cup.

Also, as 10 carrot sticks are equivalent to 1/2 pudding cup, we can trade 1 apple and 10 carrot stick for a pudding cup.

In conclusion, she should give 1 apple and 10 carrot sticks in order to get 1 pudding cup.